Title :
Unifying the Tank and Hopfield linear programming circuit and the canonical nonlinear programming circuit of Chua and Lin
Author :
Kennedy, Michael Peter ; Chua, Leon O.
fDate :
2/1/1987 12:00:00 AM
Abstract :
The linear programming network of Tank and Hopfield is shown to obey the same unifying stationary cocontent theorem as the canonical nonlinear programming circuit of Chua and Lin. Application of this theorem highlights an error in the design of Tank and Hopfield and suggests how this can be corrected to guarantee the existence of a bounded solution. The accuracy of the solution is maximized when the circuit of Tank and Hopfield reduces to the simplest special case of the canonical nonlinear programming circuit.
Keywords :
Analog computers; Linear programming; Nonlinear circuits; Nonlinear programming; Circuit stability; Error correction; Hopfield neural networks; Linear programming; Neural networks; Neurons; Polynomials; Signal processing; Speech processing; Vectors;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1987.1086095